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Atlas › Integer Profiles › Node 57,769,628

57,769,628

22 × 72 × 241 × 1223
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 241 × 1223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 118,186,992
Proper Divisor Sum 60,417,364
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #57769609 ← → #57769631

Radix Representation

Decimal 57769628
Binary 11011100010111111010011100 (26 bits)
Octal 0o334277234
Hexadecimal 0x3717E9C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 241 482 964 1,223 1,687 2,446 3,374 4,892 6,748 8,561 11,809 17,122 23,618 34,244 47,236 59,927 119,854 239,708 294,743 589,486 1,178,972 2,063,201 4,126,402 8,252,804 14,442,407 28,884,814 57,769,628

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

57,769,628 28,884,814 14,442,407 43,327,222 21,663,611 64,990,834 32,495,417 97,486,252 48,743,126 24,371,563 73,114,690 36,557,345 109,672,036 54,836,018 27,418,009 82,254,028 41,127,014 20,563,507 61,690,522 30,845,261 92,535,784 46,267,892 23,133,946 11,566,973 34,700,920 17,350,460 8,675,230 4,337,615 13,012,846 6,506,423 19,519,270 9,759,635 29,278,906 14,639,453 43,918,360 21,959,180 10,979,590 5,489,795 16,469,386 8,234,693 24,704,080 12,352,040 6,176,020 3,088,010 1,544,005 4,632,016 2,316,008 1,158,004 579,002 289,501 868,504 434,252 217,126 108,563 325,690 162,845 488,536 244,268 122,134 61,067

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